Solve the separable differential equation  10x-6y(sqrt(x^2+1))dy/dx=0  Subject to the initial condition y(0)=10

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A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a…

Q: Help

A: In such problems ie second order linear differential equations when we are given one solution,y1 we…

Q: 20. x" +4x = 3e2"

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Q: $2. x" – 4x' +3x =te".

A: Given that x''-4x'+3x=tet To find the general solution :

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Q: solve the for the general solution of the differential equation( linear homologous equation): (D2 +…

A: We have to solve the differential equation: D2+2D-1y=0 The given equation is in symbolic form where,…

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: 5. By using separable differential equation, solve the initial-value problem 2x(y + 1)dx -y dy= 0,…

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Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

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Q: Suppose that a fourth order differential equation has a solution y = -3e5Isin(z). Find the initial…

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Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

Q: 3. Show that the differential equation (1 – 2y + x In a)dx + (e2v – 2x)dy = 0 is exact and find its…

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Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: xcosydy + sin2ydy – dx = 0

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Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: 2ydx = (x2 – 1)(dx – dy)

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Q: 3. (х - у)ӑх + (х — у+2)dy %3D0 (Homogenous) 4. 2(2ху + 4y — 3)dx + (х + 2)?dy 3 0 (Non-exact)

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The solution of the differential equation y" +y = sin²(t) when solved using method of Variation of…

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Solve the first order differential equation using any acceptable method. (6x+1)y2 dy/dx+3x2+2y3=0,…

A: Given the differential equation isNow separate the variables as follows

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: (9x^2 + y - 1) - (4y - x)y′ = 0

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Q: Q-2. Form the first-order differential equation of ey = sinx

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Q: (1+x²)(dy-dx)=(2x+arctan² x)dx

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Q: The solution of the differential equation using variable separable 4/1- y². O sin y = 4x +e O cos 'y…

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Q: Solve the 2nd order linear differential equation y" – y' = 5e* – sin2x %3D

A: The auxiallary equation for the given differential equation is given by

Q: Solve for the Differential Equation (Use Variable Separable) xydx-(x+2)dy=0

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Q: x" – 5x'+4x =17 sin t+3e.

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Q: y"+4y=x² sin 2 u

A: See the attachment

Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

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Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

A: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

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A: Given the solution of a homogeneous linear differential equation with constant coefficient. That is,…

Q: The solution of the differential equation by variable separable method dy (1+ y²) (3x² + 6) 5- is dx…

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Q: 12. Solve the second-Order differential equation: a²y dx2 -y = e* (use method of variation of…

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Q: 26. x" +9x =5 cos , x(0) =0, x'(0) =0.

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Q: Solve (first order linear differential equation): y'-3x2y=ex^3

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Q: Solve the differential equation = 4x+3y by using the substitution u = Ax+ By+C. The resulting…

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Q: Find the particular solution to the differential equation: dy/dx=3x^2cos^2y. Solution passes…

A: The given differential equation is in variable separable form. We solve the differential equation by…

Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: Solve the differential equation using the method of undetermined coefficients. y" - 4y' = sin(3x)

A: Given differential equation is

Q: The particular solution of the differential equation y y- 2y = sin3x is: y(x) =Ce3x+Ce3O…

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